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Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of $87.37 as of March 20th. the bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25 how much did Carlos deposit in his account between the March 15th and the March 20th.
A. $125.87
B. $11.22
C. $162.37
D. $48.87

Respuesta :

March 15 balance:                  56.75
Add: Deposit                          x
Less: Outstanding check          18.25   ⇒ 5 + 13.25
March 20 balance:                  87.37

56.75 + x - 18.25 = 87.37
x = 87.37 - 56.75 + 18.25
x = 48.87   CHOICE D.

Outstanding checks are issued checks that are not yet deducted from the account.

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒[tex]56.75 +x - (13.25+5)=87.37[/tex]

⇒[tex]56.75 +x - 18.25=87.37[/tex]

⇒[tex]38.5 +x =87.37[/tex]

⇒[tex]x =87.37-38.5[/tex]

⇒[tex]x =48.87[/tex]

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.